199963602720 has 384 divisors, whose sum is σ = 800699558400. Its totient is φ = 45657686016.

The previous prime is 199963602691. The next prime is 199963602731. The reversal of 199963602720 is 27206369991.

199963602720 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 6 + 3 + 602 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34138032 + ... + 34143888.

It is an arithmetic number, because the mean of its divisors is an integer number (2085155100).

Almost surely, 2^199963602720 is an apocalyptic number.

199963602720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199963602720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400349779200).

199963602720 is an abundant number, since it is smaller than the sum of its proper divisors (600735955680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

199963602720 is a wasteful number, since it uses less digits than its factorization.

199963602720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7017 (or 7003 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 199963602720 in words is "one hundred ninety-nine billion, nine hundred sixty-three million, six hundred two thousand, seven hundred twenty".